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We present an ab initio inelastic quantum transport approach based on maximally localized Wannier functions. Electronic-structure properties are calculated with density-functional theory in a planewave basis, and electron-vibration coupling…

Mesoscale and Nanoscale Physics · Physics 2013-06-12 Sejoong Kim , Nicola Marzari

Transport in molecular electronic devices is different from that in semiconductor mesoscopic devices in two important aspects: (1) the effect of the electronic structure and (2) the effect of the interface to the external contact. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yongqiang Xue , Supriyo Datta , Mark A. Ratner

The equation of motion method (EOM) for Green functions is one of the tools used in the analysis of quantum dot system coupled with metallic and superconducting leads. We investigate modified EOM, based on differentiation of double-time…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Grzegorz Górski

The single-particle Green's function (GF) of mesoscopic structures plays a central role in mesoscopic quantum transport. The recursive GF technique is a standard tool to compute this quantity numerically, but it lacks physical transparency…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Shu-Hui Zhang , Wen Yang , Kai Chang

We discuss the general transport properties of superconducting quantum point contacts. We show how these properties can be obtained from a microscopic model using nonequilibrium Green function techniques. For the case of a one-channel…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Martin-Rodero , A. Levy Yeyati , J. C. Cuevas

We derive a general expression for the electron nonequilibrium (NE) distribution function in the context of steady state quantum transport through a two-terminal nanodevice with interaction. The central idea for the use of NE distributions…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 H. Ness

We develop in detail a new formalism [as a sequel to the work of T. Champel and S. Florens, Phys. Rev. B 75, 245326 (2007)] that is well-suited for treating quantum problems involving slowly-varying potentials at high magnetic fields in…

Mesoscale and Nanoscale Physics · Physics 2008-09-08 Thierry Champel , Serge Florens , Léonie Canet

This review deals with the nonequilibrium Green's function (NEGF) method applied to the problems of energy transport due to atomic vibrations (phonons), primarily for small junction systems. We present a pedagogical introduction to the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li , Juzar Thingna

Recent advances in experimental techniques emphasize the usefulness of multiple scanning probe techniques when analyzing nanoscale samples. Here, we analyze theoretically dual-probe setups with probe separations in the nanometer range,…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 Mikkel Settnes , Stephen R. Power , Dirch H. Petersen , Antti-Pekka Jauho

Driven lattice gases serve as canonical models for investigating collective transport phenomena and properties of non-equilibrium steady states (NESS). Here we study one-dimensional transport with nearest-neighbor interactions both in…

Statistical Mechanics · Physics 2013-08-13 Marcel Dierl , Mario Einax , Philipp Maass

Quantum transport properties through single polycyclic hydrocarbon molecules attached to two metallic electrodes are studied by the use of Green's function technique. A parametric approach based on the tight-binding model is introduced to…

Mesoscale and Nanoscale Physics · Physics 2009-12-20 Santanu K. Maiti

An accurate expression of the kinetic energy density of an electronic distribution in terms of the single particle reduced density matrix for atomic and molecular systems is a long-standing problem in electron structure theory. Existing…

Chemical Physics · Physics 2024-10-30 Priya , Mainak Sadhukhan

Electronic transport properties through some model quantum systems are re-visited. A simple tight-binding framework is given to describe the systems where all numerical calculations are made using the Green's function formalism. First, we…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Santanu K. Maiti

We present a numerically efficient technique to evaluate the Green's function for extended two dimensional systems without relying on periodic boundary conditions. Different regions of interest, or `patches', are connected using self energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikkel Settnes , Stephen R. Power , Jun Lin , Dirch H. Petersen , Antti-Pekka Jauho

We present a generalized approach for computing electron conductance and I-V characteristics in multiterminal junctions from first-principles. Within the framework of Keldysh theory, electron transmission is evaluated employing an O(N)…

Materials Science · Physics 2015-05-13 Kamal K. Saha , Wenchang Lu , J. Bernholc , Vincent Meunier

An efficient implementation of the nonequilibrium Green function (NEGF) method combined with the density functional theory (DFT) using localized pseudo-atomic orbitals (PAOs) is presented for electronic transport calculations of a system…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Taisuke Ozaki , Kengo Nishio , Hiori Kino

This paper aims at introducing the formal foundations of the application of reduced density-matrix theory and Green's function theory to the analysis of molecular electronic transitions. For this sake, their mechanics, applied to specific…

Chemical Physics · Physics 2022-08-09 Thibaud Etienne

In this paper we have calculated electron transport coefficient in ballistic regime through a periodic dot sandwiched between uniform leads. We have calculated the Green's function (GF), density of states (Dos) and the coherent transmission…

Materials Science · Physics 2016-08-31 Mohammad Mardaani , Keivan Esfarjani

Confinement of the electron gas along one of the spatial directions opens an avenue for studying fundamentals of quantum transport along the side of numerous practical electronic applications, with high-electron-mobility transistors being a…

Materials Science · Physics 2017-12-12 O. Rubel

In this work, we propose an efficient computational scheme for first-principle quantum transport simulations to evaluate the open-boundary conditions. Its partitioning differentiates from conventional methods in that the contact self-energy…

Materials Science · Physics 2021-01-01 Guido Gandus , Youseung Lee , Daniele Passerone , Mathieu Luisier